This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define int long long
using namespace std;
string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
bool first = true;
string res = "[";
for (const auto &x : v) {
if (!first)
res += ", ";
first = false;
res += to_string(x);
}
res += "]";
return res;
}
void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
cout << ' ' << to_string(H);
dbg_out(T...);
}
#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif
const int MAXN = 2e5;
int dp[MAXN][2];
vector<pair<int, int>> adj[MAXN];
void solve(int u, int p, int parWeight) {
int sum = 0;
for (auto [v, w] : adj[u])
if (v != p) {
solve(v, u, w);
sum += max(dp[v][0], dp[v][1]);
}
vector<int> candidats;
for (auto [v, w] : adj[u])
if (v != p)
candidats.push_back(w + dp[v][0] - max(dp[v][0], dp[v][1]));
sort(candidats.rbegin(), candidats.rend());
dp[u][0] = sum;
if (candidats.size() > 1)
dp[u][0] = max(dp[u][0], sum + candidats[0] + candidats[1]);
if (candidats.size() > 0 and u)
dp[u][1] = max(dp[u][1], sum + candidats[0] + parWeight);
dbg(u + 1, dp[u][0], dp[u][1]);
}
signed main(void) {
ios_base::sync_with_stdio(false);
cin.tie(0);
int nbSommets;
cin >> nbSommets;
for (int i = 1; i < nbSommets; ++i) {
int u, v, w;
cin >> u >> v >> w;
--u, --v;
adj[u].emplace_back(v, w);
adj[v].emplace_back(u, w);
}
solve(0, 0, 0);
cout << dp[0][0] << endl;
}
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